Coordinate planes are two-dimensional planes formed by the intersection of a vertical line known as the y-axis and a horizontal line known as the x-axis. Lines intersecting at zero are called perpendicular lines, and this is the origin.

Table of Contents

**What is a Coordinate Plane?**

Coordinate planes are two-dimensional surfaces formed by two number lines. It is formed when a horizontal line called the X-axis and a vertical line called the Y-axis to intersect at a point called the origin. To locate points on a coordinate grid, numbers are used. Coordinate planes can be used to graph points, lines, and much more. It provides precise directions from one point to another and acts as a map.

**Coordinate Plane Definition**

A coordinate plane, also known as a rectangular coordinate plane grid, is a two-dimensional plane formed by the intersection of a vertical axis and a horizontal axis.

**Coordinate Plane Graph**

There are two perpendicular number lines called axes in a coordinate graph, which is sometimes called a coordinate plane.

**Coordinates**

Coordinates are two numbers that determine a specific position on a coordinate plane, also known as a coordinate grid. A point in a coordinate plane is named by its ordered pair (x, y) written in parentheses, which corresponds to the X-coordinate and the Y-coordinate. Depending on the location of the point in the quadrant, these coordinates can be positive, zero, or negative.

**Quadrants on a Coordinate Plane**

Quadrants are regions or parts of a cartesian or coordinate plane formed when two axes intersect.

- First quadrant: x > 0, y > 0
- Second quadrant: x < 0, y > 0
- Third quadrant: x < 0, y < 0
- Fourth quadrant: x > 0, y < 0

**Locating a Point on the Coordinate Plane**

Let us now discuss how to identify points on a coordinate plane, since we are already familiar with the coordinate plane and its parts. You can locate a point on the coordinate plane by following these steps:

**Step 1:**Locate the point.**Step 2:**Determine the quadrant by looking at its X and Y coordinates.**Step 3:**Determine the X-coordinate or abscissa of the point by reading the number of units to the right/left of the origin along the X-axis.**Step 4:**Determine the Y-coordinate or the ordinate of the point by reading the number of units the point is above/below the origin along the Y-axis.

Let’s look at the coordinate plane examples. Look at the figure shown below.

**Step 1:**Look at the blue dot on the coordinate graph.**Step 2:**It is in the second quadrant.**Step 3:**Along the negative X-axis, the point is 3 units away from the origin.**Step 4:**The point is 2 units away from the origin along the positive Y-axis.

Thus, the point on the graph has coordinates (-3, 2).

**Plotting a Point in the Coordinate Plane**

In this section, we are about to learn how to plot a point on the coordinate plane. Let’s take the example of point P = (5, 6). Follow the steps below to plot a point in the coordinate plane:

- Step 1: Draw two perpendiculars, the X-axis and the Y-axis.
- Step 2: Start from the origin. Move 5 units to the right, along the positive X-axis.
- Step 3: Move 6 units up, along the positive Y-axis.
- Step 4: Mark the point of intersection. Mark it as (5, 6).

Note that P is in the first quadrant. The positive coordinate plane is also known as the positive coordinate plane because the coordinates for any point in this quadrant will be positive.

**Key Points on the Coordinate Plane:**

- The first quadrant (+, +) known as the positive coordinates quadrant, is denoted by the Roman numeral I.
- The second quadrant (-, +) is denoted by the Roman numeral II.
- The third quadrant (-, -) is represented by the Roman numeral III.
- The fourth quadrant (+, -) is represented by the Roman numeral IV.
- The coordinates of any point are enclosed in brackets.

**FAQs**

**What is a Coordinate Plane in Geometry?**

A coordinate plane is a two-dimensional plane formed by the intersection of the x-axis, or the horizontal line, and the y-axis, or the vertical line. They intersect at a point known as the origin, where the perpendicular lines cross.

**Who Invented the Coordinate Plane?**

This coordinate system was invented in the 17th century by French mathematician René Descartes.

**What are the Parts of a Coordinate Plane?**

The coordinate plane contains the axes (X-axis and Y-axis), the origin (0,0), and the four quadrants.

**What is Origin on a Coordinate Plane?**

Coordinate planes have their origin at the point of intersection of two axes. 0 and 0 are the coordinates for the origin.

**How do you construct a Coordinate Plane?**

The following steps can be taken to construct a coordinate plane:**Take a sheet of graph or grid paper.Draw a horizontal line. As the x-axis locates values of x, this line is known as the x-axis.Draw a vertical line. This line is called the y-axis and is used to locate values of y. To show that the axis actually**

**Note:**To demonstrate that the axes actually continue forever in both directions, use arrowheads at each end.

**When would you use a Coordinate Plane?**

Cartesian coordinates work well with so many situations in real life, such as when deciding how furniture should be placed in a room, a two-dimensional grid can be drawn representing the room and thus the appropriate unit of measurement can be chosen.

**How to Graph on a Coordinate Plane?**

Coordinates can be used to graph any point or object. You can plot the coordinates of given points in each quadrant of the coordinate plane and join them to form a particular shape or object.

**How Many Quadrants are there in a Coordinate Plane?**

There are four quadrants in a coordinate plane. There are four quadrants, which are denoted by the Roman numerals I, II, III, and IV, depending on the sign of the coordinates.

**How to Read a Coordinate Plane?**

We can read the coordinate plane in the following way:**Determine the quadrant in which the given point is located by looking at its x and y coordinates.Read the number of units the point is to the right/left of the origin along the x-axis to determine its x coordinate.Read the number of units the point is on the upward/downward side of the origin along the y-axis to find its y coordinate.**

**What Are the Types Of Lines In the Coordinate Plane?**

The different types of lines in a coordinate plane are parallel lines, intersecting lines, skew lines, coplanar lines, coincident lines. All of these lines can be drawn in the coordinate plane based on the x, y, and z axes.